Gentlemen, gentlemen... please calm down! You are talking past one another. The terms "left" and "right" are archaic, dating back to the French National Assembly of 1789. At that time "left" meant progressive, radical, secular, revolutionary; while "right" meant conservative, monarchic, religious. All of that is so far behind us that it's pretty much irrelevant nowadays.
The BBC is *pro-establishment*. Partly because it had a nasty near-death experience when it tried to tell the truth about Tony Blair and the Dodgy Dossier: the director-general had to resign, heads rolled, and since then everyone has known that the only thing to do is parrot the government line. http://news.bbc.co.uk/1/hi/uk_...
The BBC is also pro-establishment because of its membership. It leans very heavily towards well-educated, middle-class, liberals who (rightly or wrongly) try very hard to be politically correct at all times.
These facts confuse anyone who tries to apply old-fashioned categories like "left" and "right". The BBC seems to be "right" because it's pro-establishment; but it also looks "left" because it's politically correct. However, I find that if you assume the BBC will always speak truth to power you will be absolutely wrong. The BBC will, in fact, tell power exactly what it thinks power wants to hear. Because, to be honest, that's how you get on in life these days.
From what I hear, things aren't all that different in the US media.